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प्रश्न
Examine the consistency of the system of equations.
x + 2y = 2
2x + 3y = 3
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उत्तर
Let A = `[(1,2),(2,3)]`, X = `[(x),(y)]`, B = `[(2),(3)]`
Then the given system of equations can be written as,
`[(1,2),(2,3)][(x),(y)] = [(2),(3)]`
Now, |A|
= `|(1,2),(2,3)|`
= 3 − 4
= −1 ≠ 0
∴ The given system of equations is consistent.
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